1. Reference problem#

1.1. Geometry#

Square plate

Isotropic elasticity

\(E\mathrm{=}195000\mathit{MPa}\)

\(\nu \mathrm{=}0.3\)

Elasto-viscoplastic behavior relationship.

\(\eta \mathrm{=}600{\mathit{MPa.s}}^{n}\)

\(n\mathrm{=}3.5\)

\({\sigma }_{c}\mathrm{=}0.\mathit{MPa}\)

\(c\mathrm{=}0.\) (no viscous restoration of work hardening)

\(m\mathrm{=}20.\)

In \(A\): \({u}_{x}\mathrm{=}{u}_{y}\mathrm{=}0\)

On the \(\mathit{AB}\) side: \({u}_{x}\mathrm{=}0\)

A temperature \(T\mathrm{=}750°C\) is uniformly imposed on the structure

and TRC is such that the metallurgical state corresponding to this temperature is \(\text{100\%}\) ferritic.

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Route \(\mathit{OA}\) below from \(t\mathrm{=}0\) to \(t\mathrm{=}10s\) then stay in \(A\) until \(t\mathrm{=}60s\)